On mathematical finance
Bollettino della Unione matematica italiana, Série 8, 3B (2000) no. 3, pp. 553-572.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

I. Introduzione. II. Un rapido esame di modelli e strumenti. III. Simulazioni Monte-Carlo efficienti e calcolo di Malliavin. IV. Osservazioni parziali e «option pricing».
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Lions, P. L. On mathematical finance. Bollettino della Unione matematica italiana, Série 8, 3B (2000) no. 3, pp. 553-572. http://geodesic.mathdoc.fr/item/BUMI_2000_8_3B_3_a0/

[1] M. Avallaneda-A. Paray-A. Levy, Pricing and hedging derivative securities inmarckets with uncertain volatilities, Appl. Math. Finance, 2 (1995), 73-88.

[2] G. Barles-E. Daher-M. Romano, preprint.

[3] G. Barles-M. H. Soner, Option pricing with transaction costs and a nonlinearBlack-Scholes equation, Finance and Stochastics, to appear. | Zbl

[4] F. Black-M. Scholes, The pricing of options and corporate liabilities, J. Political Economy, 81 (1973), 637-659. | Zbl

[5] R. Cafflisch-W. Marckoff-A. Owar, Valuation of mortgage-backed securitiesusing Brownian bridges to reduce effective dimension, J. Comp. Finance, 1 (1997),27-46.

[6] D. Duffie, Security Markets: Stochastics Models, Academic Press, Boston, 1988. | MR | Zbl

[7] D. Duffie, Dynamic Asset Pricing Theory, 2nd edit., Princeton Univ. Press, Princeton, 1996. | Zbl

[8] E. Fournié-J. Lebuchaux-J. M. Lasry-P. L. Lions-N. Tauri, Applications of Malliavin calculus to Monte-Carlo methods in Finance, Finance and Stochastics, 3 (1999). | MR | Zbl

[9] E. Fournié-J. Lebuchaux-J.-M. Lasry-P.-L. Lions, Applications of Malliavincalculus to Monte-Carlo methods in Finance, II, Finance and Stochastics, toappear. | Zbl

[10] D. Lamberton-B. Lapeyire, Introduction au calcul stochastique appliquè a la Finance, 1991. | Zbl

[11] J. M. Lasry-P. L. Lions, work in preparation.

[12] J.-M. Lasry-P.-L. Lions, Control stochastique avec informations partielles et applicationsa la Finance, C.R. Acad. Sci. Paris, 328 (1999), 1003-1010. | MR | Zbl

[13] P.-L. Lions, Viscosity solutions of fully nonlinear second order equations and optimalstochastic control in infinite dimension, Part II: Optimal control of Zakai'sequation. In Stochastic Partial Differential Equations and Applications, II. Springer L.N. Maths, 1340, Berlin, 1989. | MR | Zbl

[14] P.-L. Lions-H. Régnier, work in preparation.

[15] P. Malliavin, Stochastic Analysis, Springer, Berlin, 1997. | MR | Zbl

[16] R. Merton, Theory of rational option pricing, Bell J. Econom. Manag. Sci, 4 (1973), 141-183. | MR

[17] M. Musiela-M. Rutkowski, Mastingale methods in Financial Modelling, Springer, Berlin, 1997. | MR | Zbl

[18] D. Nualart, The Malliavin calculus and related topics, Springer, Berlin, 1995. | MR | Zbl

[19] R. Robontos, Interest rate option models, Wiley, New-York, 1997. | Zbl